MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
Towards Cantor intersection theorem and Baire category theorem in partial metric spaces
Manoranjan Singha and Koushik Sarkar

Abstract

In this paper we consider a suitable definition of convergence and introduce star closed sets that enable us to establish a variant of Cantor intersection theorem as well as Baire category theorem in partial metric spaces.

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Keywords: partial metric space; star closed sets; second category.

MSC: 54E50, 54E52

Pages:  126$-$132     

Volume  69 ,  Issue  2 ,  2017